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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Tension & Membrane Structures

A linear method for form-finding of irregular prism tensegrity

< Table of Contents for Tension & Membrane Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Tension & Membrane Structures
  • Pages: 10
  • Title: A linear method for form-finding of irregular prism tensegrity
  • Author(s): Mohammad Moghaddas, Kok Keong Choong, Jae-Yeol Kim
  • Keywords: Prism tensegrity, Form finding, Iregullar shape, linear approach
Abstract
Prism tensegrity has the major advantage of simple combining ability where a single layer prism system can be easily extended to multi-layer tensegrity structure. Such obvious advantage presents designers with the flexibility to experiment with different shapes of structure using tensegrity system. In order to achieve that, a form-finding method which is accurate and fast is desirable. In this paper, a linear method is presented by combining the force equilibrium with length relation conditions. This linear approach can be used for form finding of both symmetrical and unsymmetrical prism tensegrity systems. In the proposed approach, force equilibrium and member length relations are linked together through trigonometric relations. Through the incorporation of the trigonometric relation in form finding equation, the calculation of lengths and force ratios in prism tensegrity structure becomes linear. The applicability of the approach is shown using examples of prism tensegrity structures which are symmetry and unsymmetry.

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